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professor190 [17]
3 years ago
5

What is the total volume of the snow used to make the snowman if the head is 12 inches wide, the middle is 16 inches wide, and t

he bottom is 18 inches wide (use 3.14 for pie)
5,903.13
7,459.36
9,340.25
6,099.97

17 POINTS!

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0
The snowman is made of 3 spheres (balls) of snow. The diameters, from top to bottom, are 12, 16, 18 inches
Therefore, the radii of the 3 spheres are, respectively, 6, 8, and 9 inches.

The volume of a sphere of radius, r, is given by the formula: V = 4/3 π r3
So, the total volume of snow is the sum of the 3 volumes: V = 4/3 π (63 + 83 + 93)
= 4/3 π (1,457)
=6,099.97
Your answer would be D. 6,099.97
I hope this helps!
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Find the sum of the following infinite geometric series.
pishuonlain [190]
Answer is b hope this helps you
6 0
3 years ago
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species
kotegsom [21]

Answer:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

Step-by-step explanation:

The logistic equation is the following one:

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that P(0) = 80, K = 2000.

The number of fish tripled in the first year. This means that P(1) = 3P(0) = 3(80) = 240.

Using the equation for P(1), that is, P(t) when t = 1, we find the value of r.

P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}

240 = \frac{2000*80e^{r}}{2000 + 80(e^{r} - 1)}

280*(2000 + 80(e^{r} - 1)) = 160000e^{r}

280*(2000 + 80e^{r} - 80) = 160000e^{r}

280*(1920 + 80e^{r}) = 160000e^{r}

537600 + 22400e^{r} = 160000e^{r}

137600e^{r} = 537600

e^{r} = \frac{537600}{137600}

e^{r} = 3.91

Applying ln to both sides.

\ln{e^{r}} = \ln{3.91}

r = 1.36

This means that the expression for the size of the population after t years is:

P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}

4 0
3 years ago
F(x)=5x-4 g(x)=3x-7 evaluate f(g(3)
anyanavicka [17]

Answer:

g(3)=9-7=2

f(2)=5×2-4=10-4=6

4 0
3 years ago
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First divide both sides by 12 so u get 5x -4.5 = 3. Now add 4.5 to both sides and u get 5x = 7.5. Now divide 7.5 by 5 and u get 1.5
6 0
3 years ago
Janet can make 4/5 of a necklace in 20 min .how many necklaces can she make in 1 hour​
Zanzabum

4/5 * 3 = 12/5

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3 0
3 years ago
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